101201121221024 has 96 divisors (see below), whose sum is σ = 217501240461120. Its totient is φ = 45969020467200.

The previous prime is 101201121221023. The next prime is 101201121221029. The reversal of 101201121221024 is 420122121102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201121220987 and 101201121221005.

It is not an unprimeable number, because it can be changed into a prime (101201121221023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4574464427 + ... + 4574486549.

It is an arithmetic number, because the mean of its divisors is an integer number (2265637921470).

Almost surely, 2^{101201121221024} is an apocalyptic number.

It is an amenable number.

101201121221024 is an abundant number, since it is smaller than the sum of its proper divisors (116300119240096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101201121221024 is a wasteful number, since it uses less digits than its factorization.

101201121221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30454 (or 30446 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101201121221024 its reverse (420122121102101), we get a palindrome (521323242323125).

The spelling of 101201121221024 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty-four".